4 2 M1 for dealing with both 12 and 20 by, 96 2 M1 for dealing with both 32 and 48 by,

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1 1. (a) 12 = M1 for dealing with both 12 and 20 by, 20 = OR 12: 1, 2,, 4, 6, 12 20: 1, 2, 4, 5, 10, 20 Writing each number as a product of prime factors (condone one error only); or by, Listing the factors of each number (condone one error only), or by, Drawing a Venn Diagram (or two factor trees) showing all prime factors of each number (condone one error only) A1 for HCF = 4 (accept 2 2 or 2 2 ) (b) 2 = = OR 2. 64, 96, 128, 48, 96, 144, M1 for dealing with both 2 and 48 by, Writing each number as a product of prime factors (condone one error only); or by, Listing the multiples of each number, up to at least 96 in each list (condone one error only), or by, Drawing a Venn Diagram (or two factor trees) showing all prime factors of each number (condone one error only) A1 for LCM = 96 (accept 2 5 or ) [SC: B1 for any multiple of both 2 and 48 (eg 192) if M0 scored] 1MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 1

2 M1 for 16 2 (= 2 girls) M1 for (= 48) M1 (dep on the previous M1) for ( ) 5 or ( ) (4 + 1) OR M1 for 1 : 2 = parts M1 for 5 schools parts (= 15 parts) M1 (dep on the previous M1) for 15 parts 16 1MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 2

3 . (a) ( ) ( ) = M oe or or n (b) ( ) + ( ) M1 8 8 or = or or oe or n A1 cao or M or NB scores M1 A M1 for oe or oe or oe or oe MA1 practice paper 1H (Set 5) mark scheme: Version 1.0

4 6. (a) M1 for common denominator with at least one numerator correct A1 for oe (B2 for 0.7 recurring) (b) 11 8 = M1 for 11 4 or 8 5 M1 for 11 8 or oe A1 for 22 5 or or (a) t + 1 < t + 12 t t < t < 11 t < M1 t t < 12 1 A1 t < 5.5 oe (B1 for t = 5.5 or t > 5.5 or 5.5 or t 5.5 or t 5.5 on the answer line) (b) 5 1 B1 for 5 or ft (a) 1MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 4

5 M1 for 45 0 (=1.5) or 1hr 0 min seen or for (= 0.5 or 0min) M1 (dep) for ( ) ( ) 9. (a) (x + 7)(x 7) 1 B1 cao (b) 2y 2 6y + 7y 21 2y 2 + y 21 2 M1 for out of no more than 4 terms correct with correct signs or the 4 terms 2y 2, 6y, 7y and 21 seen, ignoring signs 10. (a) C 1 B1 cao (b) B and C 1 B1 cao 11. xy(y 2x ) 2 M1 for x ( y 2x y) or y ( xy 2x ) or xy ( y 6x ) or xy (a 2 term expression in x and y, with just one error) 1MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 5

6 12. (a) 1, 1, 2 2 B2 for all values correct (B1 for any one value correct) (b) Graph drawn 2 M1 ft for at least 4 points plotted correctly from their table for correct curve drawn from ( 2, 1) to (2, 11) 1. (a) = = = = 26 4 M1 for two overlapping labelled circles B1 for 14 shown outside the circles M1 for or 6-10 ( 10 0) A1 for a fully correct and labelled Venn diagram (b) (condone omission of surrounding rectangle) 86 2 M1 for or M1 for method to find exterior or interior angle of octagon M1 for method to find exterior or interior angle of pentagon M1 for complete method 1MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 6

7 M1 for forming a correct equation, eg 2(x + 5) = 10x 2 oe x + 5 = 2 1 (10x 2) oe or 10x 2 (x + 5) = x + 5 oe M1 (dep) for dealing with brackets correctly or correct method to isolate all x terms on one side. A1 x = B1 ft (dep on M1) for 28 SC: B for an answer of 14 if no previous marks scored 1MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 7

8 16. (a) B1 7 9 oe (b) (i) Tree diagram or B1 for 9 5 or 9 1 seen M1 Indication of correct 2 branches from a tree diagram leading to seen A1 81 Or B1 9 5 or 9 1 seen 5 1 M A1 81 1MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 8

9 17. 1 hour 45 mins 6 M1 for method to find volume of pond, eg 2 1 ( ) 2 1 (= 1.8) M1 for method to find the volume of water emptied in 0 minutes, eg (= 0.4), (= ) A1 for correct rate, eg 0.8 m³/hr, 0.4 m³ in 0 minutes M1 for correct method to find total time taken to empty the pond, eg M1 for method to find extra time, eg 2 hrs 15 minutes 0 minutes A1 for 1.75 hours, 1 4 hours, 1 hour 45 mins or 105 mins OR M1 for method to find volume of water emptied in 0 minutes,.eg (= 0.4), (= ) M1 for method to work out rate of water loss eg A1 for correct rate, eg 0.8 m³/hr M1 for correct method to work out remaining volume of water 1MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 9

10 e.g. 2 1 ( ) 2 1 (= 1.4) M1 for method to work out time, e.g A1 for 1.75 hours, 1 4 hours, 1 hour 45 mins or 105 mins 18. (a) ,,, 2 0, M1 for changing to powers of 2, e.g. sight of or 2 1 or A1 for correct order (accept alternative equivalent forms, e.g. all powers of 2) (SCB1 if M0 scored, for all in correct reverse order) (b) 2 2 M1 for cubing M1 for a correct method to rationalise A1 for 2 2 (accept a = 2) 1MA1 practice paper 1H (Set 5) mark scheme: Version

11 19. (a) Circle, centre O, 2 B2 cao (b) radius 2 Cosine curve crossing at (0, 1), (90, 0), (270, 0) and (60, 1) (B1 for a circle radius 2 any centre or for a circle or part of a circle centre (0, 0) any radius) 2 B2 cao (ignore if sketch outside region) (B1 for a curve with correct intercepts but incorrect amplitude OR for a curve starting at (0,1) with correct amplitude but incorrect intercepts; curves must have a shape that approximates to a cosine curve) 20. x M1 for factorising numerator, e.g. (x + )(2x 5) x M1 for factorising denominator, e.g. 2x 2 (x + ) and (2x 5)(x ) C1 fully correct working leading to x x 1MA1 practice paper 1H (Set 5) mark scheme: Version

12 21. 2y = x 4 No, with reason 4 M1 for 2 oe or y = 4 x oe 2 2 y = 2 x 2; m = 2 1 = = 2 M1 for method to find gradient of AB, e.g or or 4 oe A1 for identifying gradients as 2 oe and 4 oe C1 (dep on M1) for a conclusion with a correct reason, e.g. No, as product of 2 and 4 is not 1, ft (from their two gradients) 1MA1 practice paper 1H (Set 5) mark scheme: Version

13 National performance data from Results Plus Original source of questions Mean score of students achieving grade: Qn Spec Paper Session YYMM Qn Topic Max score ALL A* A B C D E 1 5MM1 1H 1106 Q07 HCF and LCM MA0 1F 10 Q2 Ratio H 1111 Q1 Standard form MM1 1H 106 Q06 Relative frequency MM1 1H 1506 Q14 Congruence and similarity MM1 1H 1406 Q15 Fractions H 906 Q20 Solve inequalities MB2 2H 106 Q11 Speed MB2 2H 1511 Q08de Expanding brackets MM1 1H 1211 Q12 Gradients MM1 1H 1211 Q19 Factorise quadratic expressions MB H 106 Q12 Cubic graph MM1 1H 111 Q17 Venn diagrams MA0 1H 1511 Q14 Angles MM1 1H 106 Q15 Solve linear equations MM1 1H 1111 Q21 Probability MA0 1H 106 Q17 Volume MM1 1H 111 Q20 Index laws MA0 1H 1211 Q27 Graph of a circle NEW Manipulating algebraic fractions 21 1MA0 1H 1411 Q24 Gradients MA1 practice paper 1H (Set 5) mark scheme: Version 1.0 1